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22771044 = 223719137
BaseRepresentation
bin101011011011…
…1010101100100
31120211220000000
41112313111210
521312133134
62132021300
7364356612
oct126672544
946756000
1022771044
111194324a
127761830
1349437ba
14304a6b2
151eebe99
hex15b7564

22771044 has 96 divisors (see below), whose sum is σ = 63369600. Its totient is φ = 7138368.

The previous prime is 22771043. The next prime is 22771057. The reversal of 22771044 is 44017722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22770999 and 22771017.

It is not an unprimeable number, because it can be changed into a prime (22771043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166144 + ... + 166280.

It is an arithmetic number, because the mean of its divisors is an integer number (660100).

Almost surely, 222771044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22771044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31684800).

22771044 is an abundant number, since it is smaller than the sum of its proper divisors (40598556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22771044 is a wasteful number, since it uses less digits than its factorization.

22771044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 22771044 is about 4771.9015077849. The cubic root of 22771044 is about 283.4398965557.

Adding to 22771044 its reverse (44017722), we get a palindrome (66788766).

It can be divided in two parts, 2277 and 1044, that added together give a triangular number (3321 = T81).

The spelling of 22771044 in words is "twenty-two million, seven hundred seventy-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 137 162 171 228 243 274 324 342 411 486 513 548 684 729 822 972 1026 1233 1458 1539 1644 2052 2187 2466 2603 2916 3078 3699 4374 4617 4932 5206 6156 7398 7809 8748 9234 10412 11097 13851 14796 15618 18468 22194 23427 27702 31236 33291 41553 44388 46854 55404 66582 70281 83106 93708 99873 133164 140562 166212 199746 210843 281124 299619 399492 421686 599238 632529 843372 1198476 1265058 1897587 2530116 3795174 5692761 7590348 11385522 22771044